Holdings: Transport properties of helical Luttinger liquids

Transport properties of helical Luttinger liquids: = Transporteigenschaften von helikalen Luttinger Flüssigkeiten

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Bibliographic Details
Main Author:	Geißler, Florian ca. 21. Jh (Author)
Format:	Thesis Book
Language:	English
Published:	Würzburg 2017
Subjects:	Luttinger-Flüssigkeit Topologischer Isolator Transporteigenschaft Hochschulschrift
Online Access:	Inhaltsverzeichnis Volltext Inhaltsverzeichnis
Physical Description:	ix, 163 Seiten Diagramme 30 cm

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MARC


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245	1	0	\|a Transport properties of helical Luttinger liquids \|b = Transporteigenschaften von helikalen Luttinger Flüssigkeiten \|c vorgelegt von Florian Geißler aus Bamberg
246	1	1	\|a Transporteigenschaften von helikalen Luttinger Flüssigkeiten
264		1	\|a Würzburg \|c 2017
300			\|a ix, 163 Seiten \|b Diagramme \|c 30 cm
336			\|b txt \|2 rdacontent
337			\|b n \|2 rdamedia
338			\|b nc \|2 rdacarrier
502			\|b Dissertation \|c Julius Maximilians-Universität Würzburg \|d 2017
546			\|a Zusammenfassung in deutscher und englischer Sprache
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Record in the Search Index

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adam_text	C ONTENTS 1. IN TRO D U CTIO N AND M OTIVATION 1 1.1. 2D QSH IN SU LATO RS............................................................................................ 2 1.2. SELECTED APPLICATIONS OF T I S ............................................................................. 4 1.3. SCOPE OF THIS THESIS ................................................................................... .. . 7 2. L U TTIN G ER LIQUID TH EO RY 9 2.1. BOSONIZATION ..................................................................................................... 10 2.1.1. GENERAL TH E O R Y ...................................................................................... 10 2.1.2. BOSONIZED INTERACTIONS .......................................................................... 17 2.1.3. CHIRAL FIELDS - NOTATION OF THIS THESIS .................................................. 19 2.2. SPINLESS, SPINFUL AND HELICAL LUTTINGER LIQ U ID S .....................................................20 2.2.1. KINETIC ENERGY AND ELECTRON DENSITY ......................................................... 20 2.2.2. FORM OF ELECTRON IN TE RA CTIO N S .................................................................. 22 2.3. COMMUTATORS AND CORRELATION FUNCTIONS ............................................................ 23 2.3.1. COM M UTATORS.............................................................................................23 2.3.2. C O RRELATO RS................................................................................................26 2.4. NORMAL-ORDERING AND POINT-SPLITTING, O P E ............................................... .. . 30 2.5. (PERTURBATIVE) RENORMALIZATION GROUP TH E O R Y .....................................................33 2.5.1. OPERATOR-BASED A P P RO A C H ........................................................................ 33 2.5.2. MEANING OF THE C U T O F F .............................................................................. 36 3. C ONDUCTANCE OF TH E HELICAL LIQUID 39 3.1. EQUILIBRIUM TH E O RY ................................................................................................39 3.1.1. CONDUCTIVITY AND CO N D U CTAN CE ............................................................... 39 3.1.2. LL WITH ATTACHED LEADS ........................................................................... 40 3.2. NON-EQUILIBRIUM THEORY ............................................................................. 41 3.2.1. KELDYSH OPERATOR A V E RA G E ........................................................................ 41 3.2.2. IMPLEMENTATION OF A VOLTAGE B I A S ............................................................ 43 3.2.3. FREE CONDUCTANCE WITH LEADS .................... 45 3.2.4. GALILEAN INVARIANCE....................................................................................46 3.3. GENERIC BACKSCATTERING..........................................................................................49 3.3.1. PROTECTION AGAINST ELASTIC BACKSCATTERING ................................................ 49 3.3.2. GENERIC BACKSCATTERING O P E RA TO RS ............................................................ 50 3.3.3. STRONG-COUPLING LIM IT ................................ 52 3.4. MANY (DILUTE) IMPURITIES IN THE WEAK-COUPLING LIM IT ....................... 55 4. R ASHBA SPIN-ORBIT COUPLING 57 4.1. MICROSCOPIC ORIGIN OF SOC . . . . .......... ........ 57 4.2. BOSONIZATION ......................................................................................................... 58 4.3. SOC AS A ROTATION OF BASIS S T A T E S ..........................................................................59 4.3.1. BASIS TRANSFORM ATION................................................................................. 59 4.3.2. CORRECTION TO THE CONDUCTANCE - FERMI GOLDEN R U L E ...............................61 4.4. FERMIONIC PERTURBATIVE ANALYSIS ........................................................................... 62 4.4.1. MODEL DESCRIPTION .................................................................................... 62 4.4.2. EFFECTIVE OPERATORS OF SPB AND T P B ...................................................... 63 4.4.3. SUPPRESSION OF TERMS WITH ALL-LOCAL P O TE N TIA LS ....................................... 65 4.4.4. BACKSCATTERING C U RRE N T.............................................................................. 68 4.4.5. GENERAL FACTORIZATION................................................................................. 69 4.4.6. LOW-ENERGY EXPANSION.............................................................................. 71 4.4.7. SU (2) SYM M ETRY....................................................................................... 74 4.4.8. BACKSCATTERING AT FINITE CU TO FF .................................................................. 75 4.5. SINGLE RASHBA IMPURITY ....................................................................................... 80 4.5.1. SYSTEM WITHOUT LEADS .............................................................................. 81 4.5.2. ATTACHED LEADS AND SHIFTED O P ERATO RS ...................................................... 83 4.5.3. BACKSCATTERING CURRENT IN SECOND O RD E R ................................................... 85 4.5.4. BACKSCATTERING CURRENT IN FOURTH O R D E R ................................................... 86 4.6. RANDOM DISORDER - R G .......................................................................................... 89 4.6.1. REPLICA T R I C K ............................................................................................. 90 4.6.2. RG IN FIRST ORDER OF DV .............................................................................. 93 4.6.3. QUESTION OF LOCALIZATION IN THE STRONG-COUPLING RE G IM E .........................94 4.6.4. SECOND ORDER OF DV - DEFINITION OF LOCAL AND NON-LOCAL T P B ................ 97 4.6.5. RG OF LOCAL T P B ....................................................................................... 99 4.6.6. RG OF NON-LOCAL TPB ............................................................................ 100 4.7. RANDOM DISORDER - CONDUCTANCE..........................................................................102 4.7.1. POSITION-DEPENDENT C O N D U CTAN CE...........................................................102 4.7.2. POSITION-INDEPENDENT CO N D U CTAN CE........................................................103 4.8. CONTRACTIONS AND THE MISSING P IE C E ................................................................... 106 5. M AGNETIC M OM ENTS 109 5.1. THE DIAGONAL RONDO M O D E L ............................................................................... 110 5.1.1. THE XRRZ-MODEL - RG ................................ 110 5.1.2. WEAK- AND STRONG-COUPLING REGIME - DEFINITION OF T K .......................... 112 5.1.3. INFLUENCE OF INTERACTIONS - DEFINITION OF T * ............................................113 5.1.4. BACKSCATTERING C U RRE N T ............................................................................ 114 5.2. RONDO MODEL WITH NON-DIAGONAL COUPLINGS........................................................117 5.2.1. BACKSCATTERING C U RRE N T ............................................................................ 117 5.2.2. SPIN-SPIN CO RRE LA TIO N S ............................................................................ 119 5.2.3. RUNNING COUPLINGS FOR E ^ T * ..............................................................120 5.2.4. BLOCH EQUATIONS FOR IMPURITY SPIN AV ERAG E............................................122 5.2.5. CONDUCTANCE IN TERMS OF BARE CO U P LIN G S ................. 124 5.3. COMPARISON WITH THE EXPERIMENT OF REF. [LWF+15].........................................126 6. C ONCLUSION AND O UTLOOK 129 6.1. CONCLUSION .......................................................................................................... 129 6.2. OUTLOOK - SUPERCONDUCTOR HYBRID SY STE M S ........................................................130 A. U SEFUL FORMULAS 133 B . CHIRAL FIELDS - NOTATION O F REF. [GIA03] 135 C. O PE IN LOW EST ORDERS O F TH E R ASHBA SOC DISORDER STRENGTH 137 C. L. OPE IN FIRST ORDER OF DV .................................................................................... 137 0.2. OPE IN SECOND ORDER OF .............................................................................. 139 D . D ETAILS ABOUT TH E CALCULATION IN CHAP. 5 141 D. L. DERIVATION OF THE MIXED SPIN CORRELATIONS IN EQ. (5 .2 9 )................................141 D.2. EXPLICIT FORM OF THE BLOCH P A RA M E TE RS ............................................................. 142 D.3. RUNNING COUPLINGS FOR T K E T * .................................................................144 ACRONYM S 145 BIBLIOGRAPHY 147 ACKNOW LEDGEM ENT 161 LIST O F PUBLICATIONS 163
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author	Geißler, Florian ca. 21. Jh
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spelling	Geißler, Florian ca. 21. Jh. Verfasser (DE-588)1147527504 aut Transport properties of helical Luttinger liquids = Transporteigenschaften von helikalen Luttinger Flüssigkeiten vorgelegt von Florian Geißler aus Bamberg Transporteigenschaften von helikalen Luttinger Flüssigkeiten Würzburg 2017 ix, 163 Seiten Diagramme 30 cm txt rdacontent n rdamedia nc rdacarrier Dissertation Julius Maximilians-Universität Würzburg 2017 Zusammenfassung in deutscher und englischer Sprache Luttinger-Flüssigkeit (DE-588)7544621-2 gnd rswk-swf Topologischer Isolator (DE-588)1035519526 gnd rswk-swf Transporteigenschaft (DE-588)4185924-8 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Topologischer Isolator (DE-588)1035519526 s Luttinger-Flüssigkeit (DE-588)7544621-2 s Transporteigenschaft (DE-588)4185924-8 s DE-604 Erscheint auch als Online-Ausgabe, PDF urn:nbn:de:bvb:20-opus-153450 B:DE-101 application/pdf http://d-nb.info/1141946645/04 Inhaltsverzeichnis https://nbn-resolving.org/urn:nbn:de:bvb:20-opus-153450 Resolving-System kostenfrei Volltext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=030055377&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Geißler, Florian ca. 21. Jh Transport properties of helical Luttinger liquids = Transporteigenschaften von helikalen Luttinger Flüssigkeiten Luttinger-Flüssigkeit (DE-588)7544621-2 gnd Topologischer Isolator (DE-588)1035519526 gnd Transporteigenschaft (DE-588)4185924-8 gnd
subject_GND	(DE-588)7544621-2 (DE-588)1035519526 (DE-588)4185924-8 (DE-588)4113937-9
title	Transport properties of helical Luttinger liquids = Transporteigenschaften von helikalen Luttinger Flüssigkeiten
title_alt	Transporteigenschaften von helikalen Luttinger Flüssigkeiten
title_auth	Transport properties of helical Luttinger liquids = Transporteigenschaften von helikalen Luttinger Flüssigkeiten
title_exact_search	Transport properties of helical Luttinger liquids = Transporteigenschaften von helikalen Luttinger Flüssigkeiten
title_full	Transport properties of helical Luttinger liquids = Transporteigenschaften von helikalen Luttinger Flüssigkeiten vorgelegt von Florian Geißler aus Bamberg
title_fullStr	Transport properties of helical Luttinger liquids = Transporteigenschaften von helikalen Luttinger Flüssigkeiten vorgelegt von Florian Geißler aus Bamberg
title_full_unstemmed	Transport properties of helical Luttinger liquids = Transporteigenschaften von helikalen Luttinger Flüssigkeiten vorgelegt von Florian Geißler aus Bamberg
title_short	Transport properties of helical Luttinger liquids
title_sort	transport properties of helical luttinger liquids transporteigenschaften von helikalen luttinger flussigkeiten
title_sub	= Transporteigenschaften von helikalen Luttinger Flüssigkeiten
topic	Luttinger-Flüssigkeit (DE-588)7544621-2 gnd Topologischer Isolator (DE-588)1035519526 gnd Transporteigenschaft (DE-588)4185924-8 gnd
topic_facet	Luttinger-Flüssigkeit Topologischer Isolator Transporteigenschaft Hochschulschrift
url	http://d-nb.info/1141946645/04 https://nbn-resolving.org/urn:nbn:de:bvb:20-opus-153450 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=030055377&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
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